Title:
Numerical solution of initial-value problems in differential-algebraic equations
Personal Author:
Series:
Classics in applied mathematics ; 14
Publication Information:
Philadelphia, PA : Society for Industrial and Applied Mathematics, 1996
ISBN:
9780898713534
General Note:
An unabridged, corrected republication of the work first published by North-Holland, New York, 1989
Subject Term:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010134141 | QA378 B73 1996 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
This book, originally published in 1989 and updated and expanded for the Classics edition, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAEs.
Table of Contents
| Preface |
| 1 Introduction: why DAE's? |
| Basic types of DAE's |
| applications |
| Overview |
| 2 Theory of DAE's |
| Iintroduction |
| solvability and the index |
| Linear constant coefficient DAE's |
| Linear time varying DAE's |
| Nonlinear systems |
| 3 Multistep methods |
| Introduction |
| DBF convergence |
| BDF methods, DAE's and stiff problems |
| General linear multistep methods |
| 4 One-step methods |
| Introduction |
| Linear constant coefficient systems |
| Nonlinear index one systems |
| Semi-Explicit Nonlinear Index Two systems |
| Order reduction and stiffness |
| Extrapolation Methods |
| 5 Software and DAE's |
| Introduction |
| Algorithms and Strategies in Dassl |
| Obtaining numerical solutions |
| Solving higher index systems |
| 6 Applications |
| Introduction |
| Systems of rigid bodies |
| Trajectory prescribed path control |
| Electrical networks |
| DAE's arising from the method of lines |
| Bibliography |
| 7 The DAE home page |
| Introduction |
| theoretical advances |
| Numerical analysis advancements |
| DAE software |
| DASSL |
| Supplementary bibliography |
| Index |
